Galvanic cell/Daniell cell?

I actually understand the principle quite well. I learned that the reaction always proceeds from the base metal to the noble metal. The base metal is then oxidized, and the other is reduced.

Now I'm wondering what happens when they're not metals, like bromine and lead. Which one is oxidized and ends up at the anode, and which one is reduced at the cathode? How do you know that? Do you have to look at the periodic table to see how they're charged?

Would it then be correct that in this case lead (Pb) is oxidized and bromine (Br) is reduced?

Thanks in advance 🙂